What is a hemisphere and how does it relate to the solid in the diagram?
GCSE Secondary Maths Age 13-17 - Geometry & Measures: Volume - Cone and Hemisphere - Explained
Interactive Video
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Mathematics
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9th - 10th Grade
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Hard
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The video tutorial explains how to calculate the volume of a solid composed of a hemisphere and a cone. It guides through understanding the problem, using the correct formulae, and performing calculations accurately. The tutorial emphasizes the importance of not rounding off intermediate results and provides tips for ensuring accuracy in mathematical computations.
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7 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
What are the formulae needed to calculate the volume of the cone and the hemisphere?
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
How do you calculate the height of the cone in the solid?
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the volume of the cone calculated in the problem?
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the volume of the hemisphere calculated in the problem?
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
How do you find the total volume of the solid made from the hemisphere and the cone?
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the final answer for the volume of the solid, rounded to three significant figures?
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